Prime p₀= 3270273977798272729 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 48 72 28 6 18 36 30 84 8 52 8 84 30 36 18 6 28 72 48 (?)
a_n: 0 48 120 148 154 172 208 238 322 330 382 390 474 504 540 558 564 592 664 712
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 712
Found by: raddoc
db: batch=83, k=20, 48 72 28 6 18 36 30 84 8 52

TPT(14)	3270273112060694849	0 2 30 32 72 74 132 134 180 182 222 224 228 230	-865737577880
SPT(16)	3270273220891431289	0 58 108 118 192 198 238 240 280 282 322 328 402 412 462 520	-756906841440
SPT(16)	3270273375927683371	0 42 78 82 100 136 138 190 198 250 252 288 306 310 346 388	-601870589358
SPT(16)	3270273644398143233	0 60 74 86 134 140 144 156 188 200 204 210 258 270 284 344	-333400129496
TPT(14)	3270273713269142561	0 2 36 38 78 80 156 158 198 200 258 260 300 302	-264529130168
SPT(16)	3270273855859125949	0 30 108 114 168 190 234 274 318 358 402 424 478 484 562 592	-121939146780
SPT(16)	3270274206698539631	0 26 48 56 62 78 110 152 156 198 230 246 252 260 282 308	228900266902
STPT(10)	3270274237515287867	0 2 42 44 72 74 102 104 144 146	259717015138
STPT(10)	3270274728440531267	0 2 30 32 42 44 54 56 84 86	750642258538
STPT(10)	3270274951491237161	0 2 36 38 108 110 180 182 216 218	973692964432
SPT(16)	3270275122003692109	0 42 60 82 84 132 138 150 202 214 220 268 270 292 310 352	1144205419380